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Finding the Third Proportional to 19,554 and 32,101

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Solution

The third proportional to 19,554 and 32,101 is: 52,698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,554 : 32,101 = 32,101 : x
  2. Step 2: Convert to fraction form
    19,554/32,101 = 32,101/x
  3. Step 3: Cross multiply
    19,554x = 32,101 × 32,101
  4. Step 4: Simplify right side
    19,554x = 1,030,474,201
  5. Step 5: Solve for x
    x = 1,030,474,201/19,554
  6. Step 6: Final answer
    x = 52,698.90

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.